Question

In the given figure, all line segments of the shaded portion are of
length and at right angles to each other. Find the area of unshaded portion in the figure.
Answers:-
(A)
${225cm}^{2}$

(B)
${189cm}^{2}$

(C)
${216cm}^{2}$

(D)
${289cm}^{2}$


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Answer 1

The area of unshaded portion in the figure (C )216 $cm^{2$ is the correct option.

Step-by-step explanation:

Given figure,

Side of square = 21 cm

∴ Side of square = 21 × 21 $cm^{2}$

= 441 $cm^{2}$

Side of one small square = $\dfrac{21}{7} =3$ cm

∴ Area of one small square = 3 × 3 = 9 $cm^{2}$

∴ Area of one unshaded region = (3 + 2 + 1) × 9 = 54 $cm^{2}$

Area of unshaded region = 54 × 4  $cm^{2}$

= 216 $cm^{2}$

Hence, the area of unshaded portion in the figure (C )216 $cm^{2$ is the correct option.